Express the following base 10 numbers in two’s complement binary fixed-point numbers with eight integer bits and eight fraction bits. Express your answer in hexadecimal. −30.75 16.375
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Express the following base 10 numbers in two’s complement binary fixed-point numbers with eight integer bits and eight fraction bits. Express your answer in hexadecimal.
- −30.75
- 16.375
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- A(n) __________ is an integer stored in double the normal number of bit positions.Convert the following two’s complement binary fixed-point numbers to base 10. The implied binary point is explicitly shown to aid in your interpretation. 011110.10101 100110.10110Express the following base 10 numbers in two’s complement binary fixed-point numbers with eight integer bits and eight fraction bits. Express your answer in hexadecimal. (Note: You should show all steps) −30.75 16.375
- Represent the following decimal integer numbers in binary using 8-bit signed magnitude, one’s complement, and two’s complement representations:(a) 87(b) -87Write the actual decimal representation for each of the following 8-bit binary numbers 0101101 (from signed magnitude to decimal) 10101101.1 1. (from one's complement to decimal) 10101101.2 :(from two's complement to decimal) 10101101.34. Represent the following decimal numbers in binary using 8-bit signed magnitude, one's complement, two's complement, and excess-127 representations: Decimal SM OC TC Excess-127 +53 -28 00110100 10101001 01101100 11101100 00010101 11011001 10101011 01101101
- Express the base 10 numbers 63.15625 in IEEE 754 single-precision floating-point format. Express your answer in hexadecimal.(Hint: IEEE 754 single-precision floating-point format consists of one sign bit, 8 biased exponent bits, and 23 fraction bits) 63.1562510 =Express the following base 10 numbers in 16-bit fixed-point sign/magnitude format with eight integer bits and eight fraction bits. Express your answer in hexadecimal. (Note: You should show all the steps) 5625 -42.3125convert the following decimal numbers to 6-bit two’s complement binary numbers and subtract them. Indicate whether or not thedifference overflows a 6-bit result.−1910-(+1410) =
- Convert the following two’s complement binary fixed-point numbers to base 10. The implied binary point is explicitly shown to aid in your interpretation. (Note: You should show all steps) 0110.1011 1111.1111Provide the range (smallest to largest) of a two's complement number for each of the following number of bits in binary and decimal: a) 5 Smallest binary Largest binary Smallest decimal Largest decimal b) 7 Smallest binary Largest binary Smallest decimal Largest decimal |||||||What is the signed decimal equivalent of the following two's complement binary value? 11111010.0011 B